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1345432020 = 2235171797369
BaseRepresentation
bin101000000110001…
…1010100111010100
310110202200000202120
41100030122213110
510223412311040
6341301135540
745224661222
oct12014324724
93422600676
101345432020
11630508a99
123166ba5b0
1318598412a
14ca989b12
157d1b67d0
hex5031a9d4

1345432020 has 96 divisors (see below), whose sum is σ = 4011638400. Its totient is φ = 335745024.

The previous prime is 1345432007. The next prime is 1345432057. The reversal of 1345432020 is 202345431.

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 31 ways as a sum of consecutive naturals, for example, 178896 + ... + 186264.

It is an arithmetic number, because the mean of its divisors is an integer number (41787900).

Almost surely, 21345432020 is an apocalyptic number.

1345432020 is a gapful number since it is divisible by the number (10) 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 1345432020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005819200).

1345432020 is an abundant number, since it is smaller than the sum of its proper divisors (2666206380).

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

1345432020 is a wasteful number, since it uses less digits than its factorization.

1345432020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7577 (or 7575 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 1345432020 is about 36680.1311338986. The cubic root of 1345432020 is about 1103.9614793060.

Adding to 1345432020 its reverse (202345431), we get a palindrome (1547777451).

The spelling of 1345432020 in words is "one billion, three hundred forty-five million, four hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 179 204 255 340 358 510 537 716 895 1020 1074 1790 2148 2685 3043 3580 5370 6086 7369 9129 10740 12172 14738 15215 18258 22107 29476 30430 36516 36845 44214 45645 60860 73690 88428 91290 110535 125273 147380 182580 221070 250546 375819 442140 501092 626365 751638 1252730 1319051 1503276 1879095 2505460 2638102 3758190 3957153 5276204 6595255 7516380 7914306 13190510 15828612 19785765 22423867 26381020 39571530 44847734 67271601 79143060 89695468 112119335 134543202 224238670 269086404 336358005 448477340 672716010 1345432020