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2403134304 = 253731392467
BaseRepresentation
bin1000111100111100…
…1110101101100000
320012110220212112020
42033033032231200
514410200244204
61034243301440
7113360206314
oct21717165540
96173825466
102403134304
11102356340a
1257097a880
132c3b4547c
1418b237b44
15e0e94bd9
hex8f3ceb60

2403134304 has 96 divisors (see below), whose sum is σ = 6443256960. Its totient is φ = 784069632.

The previous prime is 2403134281. The next prime is 2403134311. The reversal of 2403134304 is 4034313042.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972879 + ... + 975345.

It is an arithmetic number, because the mean of its divisors is an integer number (67117260).

Almost surely, 22403134304 is an apocalyptic number.

2403134304 is a gapful number since it is divisible by the number (24) 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 2403134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221628480).

2403134304 is an abundant number, since it is smaller than the sum of its proper divisors (4040122656).

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

2403134304 is a wasteful number, since it uses less digits than its factorization.

2403134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 2403134304 is about 49021.7737745178. The cubic root of 2403134304 is about 1339.4484817321.

Adding to 2403134304 its reverse (4034313042), we get a palindrome (6437447346).

The spelling of 2403134304 in words is "two billion, four hundred three million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 139 146 219 278 292 417 438 556 584 834 876 1112 1168 1668 1752 2224 2336 2467 3336 3504 4448 4934 6672 7008 7401 9868 10147 13344 14802 19736 20294 29604 30441 39472 40588 59208 60882 78944 81176 118416 121764 162352 180091 236832 243528 324704 342913 360182 487056 540273 685826 720364 974112 1028739 1080546 1371652 1440728 2057478 2161092 2743304 2881456 4114956 4322184 5486608 5762912 8229912 8644368 10973216 16459824 17288736 25032649 32919648 50065298 75097947 100130596 150195894 200261192 300391788 400522384 600783576 801044768 1201567152 2403134304