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34303464 = 23321367547
BaseRepresentation
bin1000001011011…
…0110111101000
32101112210111200
42002312313220
532240202324
63223124200
7564401046
oct202666750
971483450
1034303464
11183aa778
12b5a3660
137150a10
1447ad396
153028ec9
hex20b6de8

34303464 has 96 divisors (see below), whose sum is σ = 101730720. Its totient is φ = 10378368.

The previous prime is 34303457. The next prime is 34303487. The reversal of 34303464 is 46430343.

34303464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 62439 + ... + 62985.

It is an arithmetic number, because the mean of its divisors is an integer number (1059695).

Almost surely, 234303464 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 34303464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50865360).

34303464 is an abundant number, since it is smaller than the sum of its proper divisors (67427256).

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

34303464 is a wasteful number, since it uses less digits than its factorization.

34303464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 34303464 is about 5856.9159119796. The cubic root of 34303464 is about 324.9221557151.

The spelling of 34303464 in words is "thirty-four million, three hundred three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 201 234 268 312 402 468 536 547 603 804 871 936 1094 1206 1608 1641 1742 2188 2412 2613 3282 3484 4376 4824 4923 5226 6564 6968 7111 7839 9846 10452 13128 14222 15678 19692 20904 21333 28444 31356 36649 39384 42666 56888 62712 63999 73298 85332 109947 127998 146596 170664 219894 255996 293192 329841 439788 476437 511992 659682 879576 952874 1319364 1429311 1905748 2638728 2858622 3811496 4287933 5717244 8575866 11434488 17151732 34303464