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3545268960 = 253537199621
BaseRepresentation
bin1101001101010000…
…1000001011100000
3100011002001022201210
43103110020023200
524230042101320
61343443230120
7153566201052
oct32324101340
910132038653
103545268960
11155a237052
1282b378340
134466594ac
14258bc38d2
1515b3a00e0
hexd35082e0

3545268960 has 96 divisors (see below), whose sum is σ = 11469481632. Its totient is φ = 919848960.

The previous prime is 3545268911. The next prime is 3545268977. The reversal of 3545268960 is 698625453.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82051 + ... + 117570.

It is an arithmetic number, because the mean of its divisors is an integer number (119473767).

Almost surely, 23545268960 is an apocalyptic number.

3545268960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3545268960 is an abundant number, since it is smaller than the sum of its proper divisors (7924212672).

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

3545268960 is a wasteful number, since it uses less digits than its factorization.

3545268960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199676 (or 199668 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The square root of 3545268960 is about 59542.1611969200. The cubic root of 3545268960 is about 1524.8123334417.

The spelling of 3545268960 in words is "three billion, five hundred forty-five million, two hundred sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 199621 399242 598863 798484 998105 1197726 1596968 1996210 2395452 2994315 3193936 3992420 4790904 5988630 6387872 7385977 7984840 9581808 11977260 14771954 15969680 19163616 22157931 23954520 29543908 31939360 36929885 44315862 47909040 59087816 73859770 88631724 95818080 110789655 118175632 147719540 177263448 221579310 236351264 295439080 354526896 443158620 590878160 709053792 886317240 1181756320 1772634480 3545268960