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378129480 = 233510330593
BaseRepresentation
bin10110100010011…
…100110001001000
3222100111222010120
4112202130301020
51233300120410
6101304343240
712241022211
oct2642346110
9870458116
10378129480
11184498303
12a6774b20
1360454971
1438310408
15232e3570
hex1689cc48

378129480 has 64 divisors (see below), whose sum is σ = 1145439360. Its totient is φ = 99852288.

The previous prime is 378129473. The next prime is 378129503. The reversal of 378129480 is 84921873.

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, 2937 + ... + 27656.

It is an arithmetic number, because the mean of its divisors is an integer number (17897490).

Almost surely, 2378129480 is an apocalyptic number.

378129480 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 378129480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572719680).

378129480 is an abundant number, since it is smaller than the sum of its proper divisors (767309880).

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

378129480 is a wasteful number, since it uses less digits than its factorization.

378129480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30710 (or 30706 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 378129480 is about 19445.5516764118. The cubic root of 378129480 is about 723.1252267646.

The spelling of 378129480 in words is "three hundred seventy-eight million, one hundred twenty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 30593 61186 91779 122372 152965 183558 244744 305930 367116 458895 611860 734232 917790 1223720 1835580 3151079 3671160 6302158 9453237 12604316 15755395 18906474 25208632 31510790 37812948 47266185 63021580 75625896 94532370 126043160 189064740 378129480