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2957294368 = 257192330211
BaseRepresentation
bin1011000001000100…
…1011101100100000
321122002200010020001
42300101023230200
522024031404433
61205241025344
7133166405320
oct26021135440
97562603201
102957294368
111288352036
126a6485254
133818b1332
14200a8b280
1512495a57d
hexb044bb20

2957294368 has 96 divisors (see below), whose sum is σ = 7308887040. Its totient is φ = 1148463360.

The previous prime is 2957294359. The next prime is 2957294377. The reversal of 2957294368 is 8634927592.

It is an interprime number because it is at equal distance from previous prime (2957294359) and next prime (2957294377).

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, 82783 + ... + 112993.

It is an arithmetic number, because the mean of its divisors is an integer number (76134240).

Almost surely, 22957294368 is an apocalyptic number.

2957294368 is a gapful number since it is divisible by the number (28) 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 2957294368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654443520).

2957294368 is an abundant number, since it is smaller than the sum of its proper divisors (4351592672).

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

2957294368 is a wasteful number, since it uses less digits than its factorization.

2957294368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30270 (or 30262 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The square root of 2957294368 is about 54381.0110976249. The cubic root of 2957294368 is about 1435.3732622961.

The spelling of 2957294368 in words is "two billion, nine hundred fifty-seven million, two hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 23 28 32 38 46 56 76 92 112 133 152 161 184 224 266 304 322 368 437 532 608 644 736 874 1064 1288 1748 2128 2576 3059 3496 4256 5152 6118 6992 12236 13984 24472 30211 48944 60422 97888 120844 211477 241688 422954 483376 574009 694853 845908 966752 1148018 1389706 1691816 2296036 2779412 3383632 4018063 4592072 4863971 5558824 6767264 8036126 9184144 9727942 11117648 13202207 16072252 18368288 19455884 22235296 26404414 32144504 38911768 52808828 64289008 77823536 92415449 105617656 128578016 155647072 184830898 211235312 369661796 422470624 739323592 1478647184 2957294368