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830752314 = 237193732791
BaseRepresentation
bin110001100001000…
…100011000111010
32010220012120221020
4301201010120322
53200133033224
6214233523310
726405164260
oct6141043072
92126176836
10830752314
11396a35567
121b2273536
1310315c422
147c492430
154cdedc79
hex3184463a

830752314 has 64 divisors (see below), whose sum is σ = 2004879360. Its totient is φ = 224182080.

The previous prime is 830752313. The next prime is 830752343. The reversal of 830752314 is 413257038.

It is not an unprimeable number, because it can be changed into a prime (830752313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296259 + ... + 299049.

It is an arithmetic number, because the mean of its divisors is an integer number (31326240).

Almost surely, 2830752314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830752314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002439680).

830752314 is an abundant number, since it is smaller than the sum of its proper divisors (1174127046).

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

830752314 is a wasteful number, since it uses less digits than its factorization.

830752314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 830752314 is about 28822.7742245607. The cubic root of 830752314 is about 940.0634912600.

The spelling of 830752314 in words is "eight hundred thirty million, seven hundred fifty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 373 399 746 798 1119 2238 2611 2791 5222 5582 7087 7833 8373 14174 15666 16746 19537 21261 39074 42522 49609 53029 58611 99218 106058 117222 148827 159087 297654 318174 371203 742406 1041043 1113609 2082086 2227218 3123129 6246258 7287301 14574602 19779817 21861903 39559634 43723806 59339451 118678902 138458719 276917438 415376157 830752314