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1073834112 = 27313216547
BaseRepresentation
bin100000000000001…
…0110100010000000
32202211121102110210
41000000112202000
54144400142422
6254315554120
735416303461
oct10000264200
92684542423
101073834112
1150117350a
1225b75b940
1314161bc00
14a288ad68
156441810c
hex40016880

1073834112 has 96 divisors (see below), whose sum is σ = 3088849680. Its totient is φ = 330390528.

The previous prime is 1073834107. The next prime is 1073834129. The reversal of 1073834112 is 2114383701.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1073834112.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56623 + ... + 73169.

Almost surely, 21073834112 is an apocalyptic number.

1073834112 is a gapful number since it is divisible by the number (12) 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 1073834112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544424840).

1073834112 is an abundant number, since it is smaller than the sum of its proper divisors (2015015568).

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

1073834112 is a wasteful number, since it uses less digits than its factorization.

1073834112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16590 (or 16565 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 1073834112 is about 32769.4081728676. The cubic root of 1073834112 is about 1024.0293367246.

It can be divided in two parts, 10738 and 34112, that added together give a triangular number (44850 = T299).

The spelling of 1073834112 in words is "one billion, seventy-three million, eight hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 4056 4992 5408 8112 10816 16224 16547 21632 32448 33094 49641 64896 66188 99282 132376 198564 215111 264752 397128 430222 529504 645333 794256 860444 1059008 1290666 1588512 1720888 2118016 2581332 2796443 3177024 3441776 5162664 5592886 6354048 6883552 8389329 10325328 11185772 13767104 16778658 20650656 22371544 27534208 33557316 41301312 44743088 67114632 82602624 89486176 134229264 178972352 268458528 357944704 536917056 1073834112