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3454068960 = 25335799553
BaseRepresentation
bin1100110111100000…
…1110100011100000
322220201102212212000
43031320032203200
524033220201320
61330424404000
7151411046616
oct31570164340
98821385760
103454068960
111512806151
12804916600
134307a72b4
1424aa436b6
15153387c90
hexcde0e8e0

3454068960 has 96 divisors (see below), whose sum is σ = 12089256480. Its totient is φ = 921083904.

The previous prime is 3454068929. The next prime is 3454068971. The reversal of 3454068960 is 698604543.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 395457 + ... + 404096.

It is an arithmetic number, because the mean of its divisors is an integer number (125929755).

Almost surely, 23454068960 is an apocalyptic number.

3454068960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3454068960 is an abundant number, since it is smaller than the sum of its proper divisors (8635187520).

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

3454068960 is a wasteful number, since it uses less digits than its factorization.

3454068960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799577 (or 799563 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3454068960 is about 58771.3277032262. The cubic root of 3454068960 is about 1511.6236150563.

The spelling of 3454068960 in words is "three billion, four hundred fifty-four million, sixty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 799553 1599106 2398659 3198212 3997765 4797318 6396424 7195977 7995530 9594636 11993295 12792848 14391954 15991060 19189272 21587931 23986590 25585696 28783908 31982120 35979885 38378544 43175862 47973180 57567816 63964240 71959770 76757088 86351724 95946360 107939655 115135632 127928480 143919540 172703448 191892720 215879310 230271264 287839080 345406896 383785440 431758620 575678160 690813792 863517240 1151356320 1727034480 3454068960