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1934098432 = 21971731
BaseRepresentation
bin111001101001000…
…0000000000000000
311222210100101021021
41303102000000000
512430112122212
6515530235224
765633364640
oct16322000000
94883311237
101934098432
11902825862
1245b885b14
1324a912156
14144c22520
15b4be6307
hex73480000

1934098432 has 160 divisors (see below), whose sum is σ = 4831833600. Its totient is φ = 754974720.

The previous prime is 1934098429. The next prime is 1934098489. The reversal of 1934098432 is 2348904391.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62390257 + ... + 62390287.

It is an arithmetic number, because the mean of its divisors is an integer number (30198960).

Almost surely, 21934098432 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 1934098432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415916800).

1934098432 is an abundant number, since it is smaller than the sum of its proper divisors (2897735168).

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

1934098432 is an frugal number, since it uses more digits than its factorization.

1934098432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 1934098432 is about 43978.3859640165. The cubic root of 1934098432 is about 1245.9277466353.

The spelling of 1934098432 in words is "one billion, nine hundred thirty-four million, ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 217 224 238 248 256 272 434 448 476 496 512 527 544 868 896 952 992 1024 1054 1088 1736 1792 1904 1984 2048 2108 2176 3472 3584 3689 3808 3968 4096 4216 4352 6944 7168 7378 7616 7936 8192 8432 8704 13888 14336 14756 15232 15872 16384 16864 17408 27776 28672 29512 30464 31744 32768 33728 34816 55552 57344 59024 60928 63488 65536 67456 69632 111104 114688 118048 121856 126976 131072 134912 139264 222208 229376 236096 243712 253952 262144 269824 278528 444416 458752 472192 487424 507904 524288 539648 557056 888832 917504 944384 974848 1015808 1079296 1114112 1777664 1835008 1888768 1949696 2031616 2158592 2228224 3555328 3670016 3777536 3899392 4063232 4317184 4456448 7110656 7555072 7798784 8126464 8634368 8912896 14221312 15110144 15597568 16252928 17268736 28442624 30220288 31195136 34537472 56885248 60440576 62390272 69074944 113770496 120881152 138149888 241762304 276299776 483524608 967049216 1934098432