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381102435 = 33571073769
BaseRepresentation
bin10110101101110…
…010100101100011
3222120010000021000
4112231302211203
51240030234220
6101452203043
712305213550
oct2655624543
9876100230
10381102435
1118613899a
12a7769483
1360c55bcc
1438885a27
15236ce390
hex16b72963

381102435 has 64 divisors (see below), whose sum is σ = 781747200. Its totient is φ = 172544256.

The previous prime is 381102431. The next prime is 381102443. The reversal of 381102435 is 534201183.

It is a happy number.

It is not a de Polignac number, because 381102435 - 22 = 381102431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 381102399 and 381102408.

It is not an unprimeable number, because it can be changed into a prime (381102431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 99231 + ... + 102999.

It is an arithmetic number, because the mean of its divisors is an integer number (12214800).

Almost surely, 2381102435 is an apocalyptic number.

381102435 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

381102435 is an abundant number, since it is smaller than the sum of its proper divisors (400644765).

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

381102435 is a wasteful number, since it uses less digits than its factorization.

381102435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3891 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 381102435 is about 19521.8450716114. The cubic root of 381102435 is about 725.0154162398.

The spelling of 381102435 in words is "three hundred eighty-one million, one hundred two thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 107 135 189 315 321 535 749 945 963 1605 2247 2889 3745 3769 4815 6741 11235 11307 14445 18845 20223 26383 33705 33921 56535 79149 101115 101763 131915 169605 237447 395745 403283 508815 712341 1187235 1209849 2016415 2822981 3561705 3629547 6049245 8468943 10888641 14114905 18147735 25406829 42344715 54443205 76220487 127034145 381102435