[go: up one dir, main page]

Search a number
-
+
742430208 = 2931337181
BaseRepresentation
bin101100010000001…
…001011000000000
31220202000100210010
4230100021120000
53010030231313
6201400504520
724253360362
oct5420113000
91822010703
10742430208
1135109a893
1218877b140
13baa77120
1470860d32
15452a44c3
hex2c409600

742430208 has 80 divisors (see below), whose sum is σ = 2130082416. Its totient is φ = 228433920.

The previous prime is 742430177. The next prime is 742430219. The reversal of 742430208 is 802034247.

It is a super-2 number, since 2×7424302082 = 1102405227501846528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1378 + ... + 38558.

Almost surely, 2742430208 is an apocalyptic number.

742430208 is a gapful number since it is divisible by the number (78) 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 742430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065041208).

742430208 is an abundant number, since it is smaller than the sum of its proper divisors (1387652208).

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

742430208 is a wasteful number, since it uses less digits than its factorization.

742430208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37215 (or 37199 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 742430208 is about 27247.5725157306. The cubic root of 742430208 is about 905.4932378398.

The spelling of 742430208 in words is "seven hundred forty-two million, four hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 37181 74362 111543 148724 223086 297448 446172 483353 594896 892344 966706 1189792 1450059 1784688 1933412 2379584 2900118 3569376 3866824 4759168 5800236 7138752 7733648 9518336 11600472 14277504 15467296 19036672 23200944 28555008 30934592 46401888 57110016 61869184 92803776 123738368 185607552 247476736 371215104 742430208