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3073464 = 23361731
BaseRepresentation
bin1011101110010110111000
312210011000000
423232112320
51241322324
6145513000
735060352
oct13562670
95704000
103073464
11180a159
121042760
13837c24
145a00d2
1540a9c9
hex2ee5b8

3073464 has 112 divisors (see below), whose sum is σ = 9443520. Its totient is φ = 933120.

The previous prime is 3073453. The next prime is 3073493. The reversal of 3073464 is 4643703.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 99129 + ... + 99159.

Almost surely, 23073464 is an apocalyptic number.

3073464 is a gapful number since it is divisible by the number (34) 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 3073464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721760).

3073464 is an abundant number, since it is smaller than the sum of its proper divisors (6370056).

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

3073464 is a wasteful number, since it uses less digits than its factorization.

3073464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3073464 is about 1753.1297727208. The cubic root of 3073464 is about 145.3927363334.

The spelling of 3073464 in words is "three million, seventy-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 31 34 36 51 54 62 68 72 81 93 102 108 124 136 153 162 186 204 216 243 248 279 306 324 372 408 459 486 527 558 612 648 729 744 837 918 972 1054 1116 1224 1377 1458 1581 1674 1836 1944 2108 2232 2511 2754 2916 3162 3348 3672 4131 4216 4743 5022 5508 5832 6324 6696 7533 8262 9486 10044 11016 12393 12648 14229 15066 16524 18972 20088 22599 24786 28458 30132 33048 37944 42687 45198 49572 56916 60264 85374 90396 99144 113832 128061 170748 180792 256122 341496 384183 512244 768366 1024488 1536732 3073464