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3402413520 = 2435112117163
BaseRepresentation
bin1100101011001100…
…1011010111010000
322210010020111220120
43022303023113100
523432004213040
61321341310240
7150213015642
oct31263132720
98703214816
103402413520
111496634700
127ab565380
13422b8c54c
14243c38892
1514da827d0
hexcaccb5d0

3402413520 has 120 divisors (see below), whose sum is σ = 11593612128. Its totient is φ = 824820480.

The previous prime is 3402413513. The next prime is 3402413533. The reversal of 3402413520 is 253142043.

3402413520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×34024135202 = 23152835522157580800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29542 + ... + 87621.

Almost surely, 23402413520 is an apocalyptic number.

3402413520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3402413520 is an abundant number, since it is smaller than the sum of its proper divisors (8191198608).

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

3402413520 is a wasteful number, since it uses less digits than its factorization.

3402413520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117201 (or 117184 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3402413520 is about 58330.2110402491. The cubic root of 3402413520 is about 1504.0503156737.

Adding to 3402413520 its reverse (253142043), we get a palindrome (3655555563).

The spelling of 3402413520 in words is "three billion, four hundred two million, four hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 165 176 220 240 242 264 330 363 440 484 528 605 660 726 880 968 1210 1320 1452 1815 1936 2420 2640 2904 3630 4840 5808 7260 9680 14520 29040 117163 234326 351489 468652 585815 702978 937304 1171630 1288793 1405956 1757445 1874608 2343260 2577586 2811912 3514890 3866379 4686520 5155172 5623824 6443965 7029780 7732758 9373040 10310344 12887930 14059560 14176723 15465516 19331895 20620688 25775860 28119120 28353446 30931032 38663790 42530169 51551720 56706892 61862064 70883615 77327580 85060338 103103440 113413784 141767230 154655160 170120676 212650845 226827568 283534460 309310320 340241352 425301690 567068920 680482704 850603380 1134137840 1701206760 3402413520