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30937943400 = 233527213611327
BaseRepresentation
bin11100110100000010…
…111000110101101000
32221212010012100211120
4130310002320311220
51001330103142100
622113535255240
72143446115500
oct346402706550
987763170746
1030937943400
1112136731871
125bb507a520
132bc07b51b0
1416d6c40a00
15c1114d0a0
hex7340b8d68

30937943400 has 576 divisors, whose sum is σ = 122209678080. Its totient is φ = 6415718400.

The previous prime is 30937943389. The next prime is 30937943401. The reversal of 30937943400 is 434973903.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (30937943401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23313537 + ... + 23314863.

It is an arithmetic number, because the mean of its divisors is an integer number (212169580).

Almost surely, 230937943400 is an apocalyptic number.

30937943400 is a gapful number since it is divisible by the number (30) 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 30937943400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61104839040).

30937943400 is an abundant number, since it is smaller than the sum of its proper divisors (91271734680).

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

30937943400 is a wasteful number, since it uses less digits than its factorization.

30937943400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 42.

The spelling of 30937943400 in words is "thirty billion, nine hundred thirty-seven million, nine hundred forty-three thousand, four hundred".