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3497740512 = 25375398207
BaseRepresentation
bin1101000001111011…
…0100100011100000
3100000202121121221220
43100132310203200
524130410144022
61335024415040
7152451206130
oct32036644340
910022547856
103497740512
111535424242
12817477480
13439858056
14252770ac0
1515711285c
hexd07b48e0

3497740512 has 96 divisors (see below), whose sum is σ = 10691315712. Its totient is φ = 980488704.

The previous prime is 3497740409. The next prime is 3497740523. The reversal of 3497740512 is 2150477943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13488 + ... + 84719.

It is an arithmetic number, because the mean of its divisors is an integer number (111367872).

Almost surely, 23497740512 is an apocalyptic number.

3497740512 is a gapful number since it is divisible by the number (32) 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 3497740512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345657856).

3497740512 is an abundant number, since it is smaller than the sum of its proper divisors (7193575200).

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

3497740512 is a wasteful number, since it uses less digits than its factorization.

3497740512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98280 (or 98272 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 3497740512 is about 59141.6985890666. The cubic root of 3497740512 is about 1517.9676948275.

The spelling of 3497740512 in words is "three billion, four hundred ninety-seven million, seven hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 318 336 371 424 636 672 742 848 1113 1272 1484 1696 2226 2544 2968 4452 5088 5936 8904 11872 17808 35616 98207 196414 294621 392828 589242 687449 785656 1178484 1374898 1571312 2062347 2356968 2749796 3142624 4124694 4713936 5204971 5499592 8249388 9427872 10409942 10999184 15614913 16498776 20819884 21998368 31229826 32997552 36434797 41639768 62459652 65995104 72869594 83279536 109304391 124919304 145739188 166559072 218608782 249838608 291478376 437217564 499677216 582956752 874435128 1165913504 1748870256 3497740512