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326130624 = 2634531187
BaseRepresentation
bin10011011100000…
…101101111000000
3211201200011010000
4103130011233000
51131442134444
652210040000
711040031101
oct2334055700
9751604100
10326130624
11158101846
1291279000
1352749801
14314563a8
151d971469
hex13705bc0

326130624 has 140 divisors (see below), whose sum is σ = 985823784. Its totient is φ = 106569216.

The previous prime is 326130577. The next prime is 326130641. The reversal of 326130624 is 426031623.

326130624 is a `hidden beast` number, since 3 + 2 + 6 + 1 + 30 + 624 = 666.

It is a super-2 number, since 2×3261306242 = 212722367821258752, which contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 274159 + ... + 275345.

Almost surely, 2326130624 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 326130624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492911892).

326130624 is an abundant number, since it is smaller than the sum of its proper divisors (659693160).

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

326130624 is a wasteful number, since it uses less digits than its factorization.

326130624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 326130624 is about 18059.0870201126. The cubic root of 326130624 is about 688.3307855899.

Subtracting 326130624 from its reverse (426031623), we obtain a palindrome (99900999).

The spelling of 326130624 in words is "three hundred twenty-six million, one hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 144 159 162 192 212 216 288 318 324 424 432 477 576 636 648 848 864 954 1187 1272 1296 1431 1696 1728 1908 2374 2544 2592 2862 3392 3561 3816 4293 4748 5088 5184 5724 7122 7632 8586 9496 10176 10683 11448 14244 15264 17172 18992 21366 22896 28488 30528 32049 34344 37984 42732 45792 56976 62911 64098 68688 75968 85464 91584 96147 113952 125822 128196 137376 170928 188733 192294 227904 251644 256392 274752 341856 377466 384588 503288 512784 566199 683712 754932 769176 1006576 1025568 1132398 1509864 1538352 1698597 2013152 2051136 2264796 3019728 3076704 3397194 4026304 4529592 5095791 6039456 6153408 6794388 9059184 10191582 12078912 13588776 18118368 20383164 27177552 36236736 40766328 54355104 81532656 108710208 163065312 326130624