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378135936 = 2732328243
BaseRepresentation
bin10110100010011…
…110010110000000
3222100112021222200
4112202132112000
51233300322221
6101304433200
712241050063
oct2642362600
9870467880
10378135936
111844a2142
12a6778800
1360457899
14383128da
15232e5426
hex1689e580

378135936 has 48 divisors (see below), whose sum is σ = 1088128860. Its totient is φ = 126044928.

The previous prime is 378135899. The next prime is 378135977. The reversal of 378135936 is 639531873.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 378135891 and 378135900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 162970 + ... + 165273.

Almost surely, 2378135936 is an apocalyptic number.

378135936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

378135936 is an abundant number, since it is smaller than the sum of its proper divisors (709992924).

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

378135936 is a wasteful number, since it uses less digits than its factorization.

378135936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328263 (or 328248 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 378135936 is about 19445.7176776791. The cubic root of 378135936 is about 723.1293421714.

The spelling of 378135936 in words is "three hundred seventy-eight million, one hundred thirty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 328243 656486 984729 1312972 1969458 2625944 2954187 3938916 5251888 5908374 7877832 10503776 11816748 15755664 21007552 23633496 31511328 42015104 47266992 63022656 94533984 126045312 189067968 378135936