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30394464 = 2533743199
BaseRepresentation
bin111001111110…
…0100001100000
32010012012100220
41303330201200
530240110324
63003243040
7516230412
oct163744140
963165326
1030394464
111617a8a1
12a219480
1363b26b9
1440729b2
152a05b79
hex1cfc860

30394464 has 96 divisors (see below), whose sum is σ = 84268800. Its totient is φ = 9580032.

The previous prime is 30394459. The next prime is 30394519. The reversal of 30394464 is 46449303.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152637 + ... + 152835.

It is an arithmetic number, because the mean of its divisors is an integer number (877800).

Almost surely, 230394464 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 30394464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42134400).

30394464 is an abundant number, since it is smaller than the sum of its proper divisors (53874336).

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

30394464 is a wasteful number, since it uses less digits than its factorization.

30394464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 30394464 is about 5513.1174484134. The cubic root of 30394464 is about 312.0792040862.

It can be divided in two parts, 3039 and 4464, that added together give a triangular number (7503 = T122).

The spelling of 30394464 in words is "thirty million, three hundred ninety-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 74 86 96 111 129 148 172 199 222 258 296 344 398 444 516 592 597 688 796 888 1032 1184 1194 1376 1591 1592 1776 2064 2388 3182 3184 3552 4128 4773 4776 6364 6368 7363 8557 9546 9552 12728 14726 17114 19092 19104 22089 25456 25671 29452 34228 38184 44178 50912 51342 58904 68456 76368 88356 102684 117808 136912 152736 176712 205368 235616 273824 316609 353424 410736 633218 706848 821472 949827 1266436 1899654 2532872 3799308 5065744 7598616 10131488 15197232 30394464