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1345914240 = 27351163727
BaseRepresentation
bin101000000111001…
…0000010110000000
310110210120112020120
41100032100112000
510224023223430
6341315340240
745232040136
oct12016202600
93423515216
101345914240
11630808320
123168b1680
13185ac2778
14caa73756
157d25e610
hex50390580

1345914240 has 128 divisors (see below), whose sum is σ = 4680184320. Its totient is φ = 326277120.

The previous prime is 1345914211. The next prime is 1345914247. The reversal of 1345914240 is 424195431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×13459142402 = 3622970282869555200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345914247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10744 + ... + 52983.

It is an arithmetic number, because the mean of its divisors is an integer number (36563940).

Almost surely, 21345914240 is an apocalyptic number.

1345914240 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 1345914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340092160).

1345914240 is an abundant number, since it is smaller than the sum of its proper divisors (3334270080).

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

1345914240 is a wasteful number, since it uses less digits than its factorization.

1345914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63760 (or 63748 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1345914240 is about 36686.7038584826. The cubic root of 1345914240 is about 1104.0933548446.

It can be divided in two parts, 134591 and 4240, that added together give a palindrome (138831).

The spelling of 1345914240 in words is "one billion, three hundred forty-five million, nine hundred fourteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 264 320 330 352 384 440 480 528 640 660 704 880 960 1056 1320 1408 1760 1920 2112 2640 3520 4224 5280 7040 10560 21120 63727 127454 191181 254908 318635 382362 509816 637270 700997 764724 955905 1019632 1274540 1401994 1529448 1911810 2039264 2102991 2549080 2803988 3058896 3504985 3823620 4078528 4205982 5098160 5607976 6117792 7009970 7647240 8157056 8411964 10196320 10514955 11215952 12235584 14019940 15294480 16823928 20392640 21029910 22431904 24471168 28039880 30588960 33647856 40785280 42059820 44863808 56079760 61177920 67295712 84119640 89727616 112159520 122355840 134591424 168239280 224319040 269182848 336478560 448638080 672957120 1345914240