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328105140 = 223511563883
BaseRepresentation
bin10011100011100…
…111110010110100
3211212101110122020
4103203213302310
51132443331030
652320233140
711062563516
oct2343476264
9755343566
10328105140
11159230280
1291a6b7b0
1352c8b46c
143180bbb6
151dc11510
hex138e7cb4

328105140 has 96 divisors (see below), whose sum is σ = 1005129216. Its totient is φ = 79309440.

The previous prime is 328105133. The next prime is 328105157. The reversal of 328105140 is 41501823.

It is a self number, because there is not a number n which added to its sum of digits gives 328105140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371139 + ... + 372021.

It is an arithmetic number, because the mean of its divisors is an integer number (10470096).

Almost surely, 2328105140 is an apocalyptic number.

328105140 is a gapful number since it is divisible by the number (30) 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 328105140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502564608).

328105140 is an abundant number, since it is smaller than the sum of its proper divisors (677024076).

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

328105140 is a wasteful number, since it uses less digits than its factorization.

328105140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 328105140 is about 18113.6727363613. The cubic root of 328105140 is about 689.7171283265.

Adding to 328105140 its reverse (41501823), we get a palindrome (369606963).

It can be divided in two parts, 32810 and 5140, that added together give a triangular number (37950 = T275).

The spelling of 328105140 in words is "three hundred twenty-eight million, one hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 563 660 883 1126 1689 1766 2252 2649 2815 3378 3532 4415 5298 5630 6193 6756 8445 8830 9713 10596 11260 12386 13245 16890 17660 18579 19426 24772 26490 29139 30965 33780 37158 38852 48565 52980 58278 61930 74316 92895 97130 116556 123860 145695 185790 194260 291390 371580 497129 582780 994258 1491387 1988516 2485645 2982774 4971290 5468419 5965548 7456935 9942580 10936838 14913870 16405257 21873676 27342095 29827740 32810514 54684190 65621028 82026285 109368380 164052570 328105140