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30746300400 = 2432528540639
BaseRepresentation
bin11100101000100111…
…110100111111110000
32221100202120220001200
4130220213310333300
51000432023103100
622042531531200
72135631145524
oct345047647760
987322526050
1030746300400
1112048537622
125b60a59b00
132b8cb9597a
1416b95d5d84
15bee3e4e00
hex7289f4ff0

30746300400 has 90 divisors (see below), whose sum is σ = 106698215520. Its totient is φ = 8199012480.

The previous prime is 30746300399. The next prime is 30746300411. The reversal of 30746300400 is 400364703.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4266720 + ... + 4273919.

It is an arithmetic number, because the mean of its divisors is an integer number (1185535728).

Almost surely, 230746300400 is an apocalyptic number.

30746300400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30746300400 is an abundant number, since it is smaller than the sum of its proper divisors (75951915120).

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

30746300400 is a wasteful number, since it uses less digits than its factorization.

30746300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8540663 (or 8540649 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 30746300400 in words is "thirty billion, seven hundred forty-six million, three hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 8540639 17081278 25621917 34162556 42703195 51243834 68325112 76865751 85406390 102487668 128109585 136650224 153731502 170812780 204975336 213515975 256219170 307463004 341625560 384328755 409950672 427031950 512438340 614926008 640547925 683251120 768657510 854063900 1024876680 1229852016 1281095850 1537315020 1708127800 1921643775 2049753360 2562191700 3074630040 3416255600 3843287550 5124383400 6149260080 7686575100 10248766800 15373150200 30746300400