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34323413312 = 265973239521
BaseRepresentation
bin11111111101110101…
…011011100101000000
310021121001120001111002
4133331311123211000
51030243243211222
623433513511132
72323365125246
oct377565334500
9107531501432
1034323413312
1113613743491
12679aa124a8
13330ccc1526
141938708796
15d5d485392
hex7fdd5b940

34323413312 has 112 divisors (see below), whose sum is σ = 70642886400. Its totient is φ = 16538296320.

The previous prime is 34323413297. The next prime is 34323413351. The reversal of 34323413312 is 21331432343.

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, 65879612 + ... + 65880132.

Almost surely, 234323413312 is an apocalyptic number.

34323413312 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 34323413312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35321443200).

34323413312 is an abundant number, since it is smaller than the sum of its proper divisors (36319473088).

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

34323413312 is a wasteful number, since it uses less digits than its factorization.

34323413312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its digits is 15552, while the sum is 29.

Adding to 34323413312 its reverse (21331432343), we get a palindrome (55654845655).

The spelling of 34323413312 in words is "thirty-four billion, three hundred twenty-three million, four hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 59 64 73 118 146 236 239 292 472 478 521 584 944 956 1042 1168 1888 1912 2084 2336 3776 3824 4168 4307 4672 7648 8336 8614 14101 15296 16672 17228 17447 28202 30739 33344 34456 34894 38033 56404 61478 68912 69788 76066 112808 122956 124519 137824 139576 152132 225616 245912 249038 275648 279152 304264 451232 491824 498076 558304 608528 902464 983648 996152 1029373 1116608 1217056 1967296 1992304 2058746 2243947 2434112 3984608 4117492 4487894 7346621 7969216 8234984 8975788 9089887 14693242 16469968 17951576 18179774 29386484 32939936 35903152 36359548 58772968 65879872 71806304 72719096 117545936 143612608 145438192 235091872 290876384 470183744 536303333 581752768 1072606666 2145213332 4290426664 8580853328 17161706656 34323413312