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3450101312 = 26717613739
BaseRepresentation
bin1100110110100100…
…0101111001000000
322220102222022021002
43031221011321000
524031211220222
61330203351132
7151332243260
oct31551057100
98812868232
103450101312
1115105461a9
128035224a8
1342ca18388
1424a2cd7a0
15152d52392
hexcda45e40

3450101312 has 112 divisors (see below), whose sum is σ = 8309335680. Its totient is φ = 1387487232.

The previous prime is 3450101309. The next prime is 3450101323. The reversal of 3450101312 is 2131010543.

It is a tau number, because it is divible by the number of its divisors (112).

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, 4668239 + ... + 4668977.

Almost surely, 23450101312 is an apocalyptic number.

3450101312 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 3450101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4154667840).

3450101312 is an abundant number, since it is smaller than the sum of its proper divisors (4859234368).

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

3450101312 is a wasteful number, since it uses less digits than its factorization.

3450101312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 3450101312 is about 58737.5630410387. The cubic root of 3450101312 is about 1511.0445985975.

Adding to 3450101312 its reverse (2131010543), we get a palindrome (5581111855).

The spelling of 3450101312 in words is "three billion, four hundred fifty million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 613 739 952 1088 1226 1478 1904 2452 2956 3808 4291 4904 5173 5912 7616 8582 9808 10346 10421 11824 12563 17164 19616 20692 20842 23648 25126 34328 39232 41384 41684 47296 50252 68656 72947 82768 83368 87941 100504 137312 145894 165536 166736 175882 201008 274624 291788 331072 333472 351764 402016 453007 583576 666944 703528 804032 906014 1167152 1407056 1812028 2334304 2814112 3171049 3624056 4668608 5628224 6342098 7248112 7701119 12684196 14496224 15402238 25368392 28992448 30804476 50736784 53907833 61608952 101473568 107815666 123217904 202947136 215631332 246435808 431262664 492871616 862525328 1725050656 3450101312