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97034432 = 2611337409
BaseRepresentation
bin1011100100010…
…10000011000000
320202120212012212
411302022003000
5144320100212
613343441252
72255531135
oct562120300
9222525185
1097034432
114a856450
12285b6228
1317145a31
14cc5c58c
1587bae22
hex5c8a0c0

97034432 has 56 divisors (see below), whose sum is σ = 211195920. Its totient is φ = 43868160.

The previous prime is 97034393. The next prime is 97034459. The reversal of 97034432 is 23443079.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237044 + ... + 237452.

Almost surely, 297034432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105597960).

97034432 is an abundant number, since it is smaller than the sum of its proper divisors (114161488).

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

97034432 is a wasteful number, since it uses less digits than its factorization.

97034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 97034432 is about 9850.6056666583. The cubic root of 97034432 is about 459.5244486797.

The spelling of 97034432 in words is "ninety-seven million, thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 337 352 409 674 704 818 1348 1636 2696 3272 3707 4499 5392 6544 7414 8998 10784 13088 14828 17996 21568 26176 29656 35992 59312 71984 118624 137833 143968 237248 275666 287936 551332 1102664 1516163 2205328 3032326 4410656 6064652 8821312 12129304 24258608 48517216 97034432