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2734102272 = 28311378747
BaseRepresentation
bin1010001011110111…
…0001011100000000
321001112200210020010
42202331301130000
521044412233042
61131145144520
7124516325436
oct24275613400
97045623203
102734102272
111183369560
1264378b140
133475969c5
141bd18cd56
1511006e59c
hexa2f71700

2734102272 has 144 divisors (see below), whose sum is σ = 8153695872. Its totient is φ = 806031360.

The previous prime is 2734102249. The next prime is 2734102277. The reversal of 2734102272 is 2722014372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734102277) 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, 308203 + ... + 316949.

It is an arithmetic number, because the mean of its divisors is an integer number (56622888).

Almost surely, 22734102272 is an apocalyptic number.

2734102272 is a gapful number since it is divisible by the number (22) 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 2734102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4076847936).

2734102272 is an abundant number, since it is smaller than the sum of its proper divisors (5419593600).

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

2734102272 is a wasteful number, since it uses less digits than its factorization.

2734102272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8814 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 2734102272 is about 52288.6438148858. The cubic root of 2734102272 is about 1398.3146849630.

The spelling of 2734102272 in words is "two billion, seven hundred thirty-four million, one hundred two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 256 264 296 352 384 407 444 528 592 704 768 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 2816 3256 3552 4224 4736 4884 6512 7104 8448 8747 9472 9768 13024 14208 17494 19536 26048 26241 28416 34988 39072 52096 52482 69976 78144 96217 104192 104964 139952 156288 192434 209928 279904 288651 312576 323639 384868 419856 559808 577302 647278 769736 839712 970917 1119616 1154604 1294556 1539472 1679424 1941834 2239232 2309208 2589112 3078944 3358848 3560029 3883668 4618416 5178224 6157888 6717696 7120058 7767336 9236832 10356448 10680087 12315776 14240116 15534672 18473664 20712896 21360174 24631552 28480232 31069344 36947328 41425792 42720348 56960464 62138688 73894656 82851584 85440696 113920928 124277376 170881392 227841856 248554752 341762784 455683712 683525568 911367424 1367051136 2734102272