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3490499712 = 2737326501
BaseRepresentation
bin1101000000001100…
…1100110010000000
3100000020222202110010
43100003030302000
524122031442322
61334205304520
7152332521000
oct32003146200
910006882403
103490499712
111531329107
12814b65140
134381c135b
14251808000
1515668220c
hexd00ccc80

3490499712 has 128 divisors (see below), whose sum is σ = 10812816000. Its totient is φ = 997248000.

The previous prime is 3490499669. The next prime is 3490499713. The reversal of 3490499712 is 2179940943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-6 number, since 6×34904997126 (a number of 59 digits) contains 666666 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3490499713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118462 + ... + 144962.

It is an arithmetic number, because the mean of its divisors is an integer number (84475125).

Almost surely, 23490499712 is an apocalyptic number.

3490499712 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 3490499712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406408000).

3490499712 is an abundant number, since it is smaller than the sum of its proper divisors (7322316288).

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

3490499712 is an equidigital number, since it uses as much as digits as its factorization.

3490499712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26539 (or 26513 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 3490499712 is about 59080.4511831113. The cubic root of 3490499712 is about 1516.9195044621.

The spelling of 3490499712 in words is "three billion, four hundred ninety million, four hundred ninety-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 343 384 392 448 588 672 686 784 896 1029 1176 1344 1372 1568 2058 2352 2688 2744 3136 4116 4704 5488 6272 8232 9408 10976 16464 18816 21952 26501 32928 43904 53002 65856 79503 106004 131712 159006 185507 212008 318012 371014 424016 556521 636024 742028 848032 1113042 1272048 1298549 1484056 1696064 2226084 2544096 2597098 2968112 3392128 3895647 4452168 5088192 5194196 5936224 7791294 8904336 9089843 10176384 10388392 11872448 15582588 17808672 18179686 20776784 23744896 27269529 31165176 35617344 36359372 41553568 54539058 62330352 71234688 72718744 83107136 109078116 124660704 145437488 166214272 218156232 249321408 290874976 436312464 498642816 581749952 872624928 1163499904 1745249856 3490499712