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378232480 = 25559103389
BaseRepresentation
bin10110100010110…
…101111010100000
3222100201012102101
4112202311322200
51233311414410
6101310500144
712241631413
oct2642657240
9870635371
10378232480
1118455872a
12a6804654
136048c802
1438339b7a
1523313d3a
hex168b5ea0

378232480 has 96 divisors (see below), whose sum is σ = 919900800. Its totient is φ = 146906112.

The previous prime is 378232469. The next prime is 378232489. The reversal of 378232480 is 84232873.

It is a happy number.

378232480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (378232489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 972126 + ... + 972514.

It is an arithmetic number, because the mean of its divisors is an integer number (9582300).

Almost surely, 2378232480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459950400).

378232480 is an abundant number, since it is smaller than the sum of its proper divisors (541668320).

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

378232480 is a wasteful number, since it uses less digits than its factorization.

378232480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 378232480 is about 19448.1999167018. The cubic root of 378232480 is about 723.1908789997.

The spelling of 378232480 in words is "three hundred seventy-eight million, two hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 103 118 160 206 236 295 389 412 472 515 590 778 824 944 1030 1180 1556 1648 1888 1945 2060 2360 3112 3296 3890 4120 4720 6077 6224 7780 8240 9440 12154 12448 15560 16480 22951 24308 30385 31120 40067 45902 48616 60770 62240 80134 91804 97232 114755 121540 160268 183608 194464 200335 229510 243080 320536 367216 400670 459020 486160 641072 734432 801340 918040 972320 1282144 1602680 1836080 2363953 3205360 3672160 4727906 6410720 9455812 11819765 18911624 23639530 37823248 47279060 75646496 94558120 189116240 378232480