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3416450130 = 2335233714869
BaseRepresentation
bin1100101110100010…
…1110010001010010
322211002122122112000
43023220232101102
523444102401010
61323002214430
7150443230002
oct31350562122
98732578460
103416450130
1114a3551605
127b41b4416
13425a65532
14245a50002
1514ee067c0
hexcba2e452

3416450130 has 128 divisors (see below), whose sum is σ = 9764236800. Its totient is φ = 847832832.

The previous prime is 3416450099. The next prime is 3416450159. The reversal of 3416450130 is 310546143.

3416450130 is a `hidden beast` number, since 3 + 4 + 1 + 645 + 0 + 13 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3416450094 and 3416450103.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222336 + ... + 237204.

It is an arithmetic number, because the mean of its divisors is an integer number (76283100).

Almost surely, 23416450130 is an apocalyptic number.

3416450130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3416450130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4882118400).

3416450130 is an abundant number, since it is smaller than the sum of its proper divisors (6347786670).

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

3416450130 is a wasteful number, since it uses less digits than its factorization.

3416450130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14945 (or 14939 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3416450130 is about 58450.4074408383. The cubic root of 3416450130 is about 1506.1157908462.

Adding to 3416450130 its reverse (310546143), we get a palindrome (3726996273).

The spelling of 3416450130 in words is "three billion, four hundred sixteen million, four hundred fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 37 45 46 54 69 74 90 111 115 135 138 185 207 222 230 270 333 345 370 414 555 621 666 690 851 999 1035 1110 1242 1665 1702 1998 2070 2553 3105 3330 4255 4995 5106 6210 7659 8510 9990 12765 14869 15318 22977 25530 29738 38295 44607 45954 74345 76590 89214 114885 133821 148690 223035 229770 267642 341987 401463 446070 550153 669105 683974 802926 1025961 1100306 1338210 1650459 1709935 2007315 2051922 2750765 3077883 3300918 3419870 4014630 4951377 5129805 5501530 6155766 8252295 9233649 9902754 10259610 12653519 14854131 15389415 16504590 18467298 24756885 25307038 29708262 30778830 37960557 46168245 49513770 63267595 74270655 75921114 92336490 113881671 126535190 148541310 189802785 227763342 341645013 379605570 569408355 683290026 1138816710 1708225065 3416450130