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3402111300 = 2235277920507
BaseRepresentation
bin1100101011001000…
…0001100101000100
322210002200011100020
43022302001211010
523431420030200
61321331015140
7150210316560
oct31262014504
98702604306
103402111300
111496448635
127ab43a4b0
13422ab4b13
14243b9a6a0
1514da22ea0
hexcac81944

3402111300 has 144 divisors (see below), whose sum is σ = 11392604160. Its totient is φ = 767744640.

The previous prime is 3402111299. The next prime is 3402111353. The reversal of 3402111300 is 31112043.

It is a super-2 number, since 2×34021113002 = 23148722595175380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3402111300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155647 + ... + 176153.

Almost surely, 23402111300 is an apocalyptic number.

3402111300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696302080).

3402111300 is an abundant number, since it is smaller than the sum of its proper divisors (7990492860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3402111300 is a wasteful number, since it uses less digits than its factorization.

3402111300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20610 (or 20603 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3402111300 is about 58327.6203869145. The cubic root of 3402111300 is about 1504.0057818408.

Adding to 3402111300 its reverse (31112043), we get a palindrome (3433223343).

The spelling of 3402111300 in words is "three billion, four hundred two million, one hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 79 84 100 105 140 150 158 175 210 237 300 316 350 395 420 474 525 553 700 790 948 1050 1106 1185 1580 1659 1975 2100 2212 2370 2765 3318 3950 4740 5530 5925 6636 7900 8295 11060 11850 13825 16590 20507 23700 27650 33180 41014 41475 55300 61521 82028 82950 102535 123042 143549 165900 205070 246084 287098 307605 410140 430647 512675 574196 615210 717745 861294 1025350 1230420 1435490 1538025 1620053 1722588 2050700 2153235 2870980 3076050 3240106 3588725 4306470 4860159 6152100 6480212 7177450 8100265 8612940 9720318 10766175 11340371 14354900 16200530 19440636 21532350 22680742 24300795 32401060 34021113 40501325 43064700 45361484 48601590 56701855 68042226 81002650 97203180 113403710 121503975 136084452 162005300 170105565 226807420 243007950 283509275 340211130 486015900 567018550 680422260 850527825 1134037100 1701055650 3402111300