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930000032 = 25132337271
BaseRepresentation
bin110111011011101…
…010110010100000
32101210221220012122
4313123222302200
53401040000112
6232141043412
732021604233
oct6733526240
92353856178
10930000032
11437a62875
1221b556568
1311a89b6a0
148b72941a
15569a5872
hex376eaca0

930000032 has 144 divisors (see below), whose sum is σ = 2144403072. Its totient is φ = 393845760.

The previous prime is 930000017. The next prime is 930000041. The reversal of 930000032 is 230000039.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13098557 + ... + 13098627.

It is an arithmetic number, because the mean of its divisors is an integer number (14891688).

Almost surely, 2930000032 is an apocalyptic number.

930000032 is a gapful number since it is divisible by the number (92) 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 930000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072201536).

930000032 is an abundant number, since it is smaller than the sum of its proper divisors (1214403040).

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

930000032 is a wasteful number, since it uses less digits than its factorization.

930000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 930000032 is about 30495.9018886145. The cubic root of 930000032 is about 976.1000188639.

The spelling of 930000032 in words is "nine hundred thirty million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 8 13 16 23 26 32 37 46 52 71 74 92 104 142 148 184 208 284 296 299 368 416 481 568 592 598 736 851 923 962 1136 1184 1196 1369 1633 1702 1846 1924 2272 2392 2627 2738 3266 3404 3692 3848 4784 5254 5476 6532 6808 7384 7696 9568 10508 10952 11063 13064 13616 14768 15392 17797 21016 21229 21904 22126 26128 27232 29536 31487 34151 35594 42032 42458 43808 44252 52256 60421 62974 68302 71188 84064 84916 88504 97199 120842 125948 136604 142376 169832 177008 194398 241684 251896 273208 284752 339664 354016 388796 409331 483368 503792 546416 569504 679328 777592 785473 818662 966736 1007584 1092832 1263587 1555184 1570946 1637324 1933472 2235577 2527174 3110368 3141892 3274648 4471154 5054348 6283784 6549296 8942308 10108696 12567568 13098592 17884616 20217392 25135136 29062501 35769232 40434784 58125002 71538464 116250004 232500008 465000016 930000032