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2938000944 = 243314614283
BaseRepresentation
bin1010111100011110…
…0101011000110000
321120202100220121210
42233013211120300
522004112012234
61203311320120
7132543411264
oct25707453060
97522326553
102938000944
11127847465a
1269bb20040
1337a8b76c8
141dc2a80a4
15122de8be9
hexaf1e5630

2938000944 has 80 divisors (see below), whose sum is σ = 7853497344. Its totient is φ = 945465600.

The previous prime is 2938000939. The next prime is 2938000963. The reversal of 2938000944 is 4490008392.

2938000944 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29380009442 = 17263699093889782272, which contains 22 as substring.

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, 683827 + ... + 688109.

Almost surely, 22938000944 is an apocalyptic number.

2938000944 is a gapful number since it is divisible by the number (24) 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 2938000944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926748672).

2938000944 is an abundant number, since it is smaller than the sum of its proper divisors (4915496400).

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

2938000944 is a wasteful number, since it uses less digits than its factorization.

2938000944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4780 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 2938000944 is about 54203.3296394234. The cubic root of 2938000944 is about 1432.2449852905.

The spelling of 2938000944 in words is "two billion, nine hundred thirty-eight million, nine hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 461 496 744 922 1383 1488 1844 2766 3688 4283 5532 7376 8566 11064 12849 14291 17132 22128 25698 28582 34264 42873 51396 57164 68528 85746 102792 114328 132773 171492 205584 228656 265546 342984 398319 531092 685968 796638 1062184 1593276 1974463 2124368 3186552 3948926 5923389 6373104 7897852 11846778 15795704 23693556 31591408 47387112 61208353 94774224 122416706 183625059 244833412 367250118 489666824 734500236 979333648 1469000472 2938000944