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378028368 = 243223157727
BaseRepresentation
bin10110100010000…
…100000101010000
3222100022211102200
4112202010011100
51233233401433
6101302243200
712240121344
oct2642040520
9870284380
10378028368
11184429343
12a6726500
136041a933
14382c5624
15232c3613
hex16884150

378028368 has 120 divisors (see below), whose sum is σ = 1112512128. Its totient is φ = 119598336.

The previous prime is 378028363. The next prime is 378028373. The reversal of 378028368 is 863820873.

It is an interprime number because it is at equal distance from previous prime (378028363) and next prime (378028373).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378028363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519621 + ... + 520347.

Almost surely, 2378028368 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 378028368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556256064).

378028368 is an abundant number, since it is smaller than the sum of its proper divisors (734483760).

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

378028368 is a wasteful number, since it uses less digits than its factorization.

378028368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 378028368 is about 19442.9516277750. The cubic root of 378028368 is about 723.0607663440.

The spelling of 378028368 in words is "three hundred seventy-eight million, twenty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 157 184 207 276 314 368 414 471 552 628 727 828 942 1104 1256 1413 1454 1656 1884 2181 2512 2826 2908 3312 3611 3768 4362 5652 5816 6543 7222 7536 8724 10833 11304 11632 13086 14444 16721 17448 21666 22608 26172 28888 32499 33442 34896 43332 50163 52344 57776 64998 66884 86664 100326 104688 114139 129996 133768 150489 173328 200652 228278 259992 267536 300978 342417 401304 456556 519984 601956 684834 802608 913112 1027251 1203912 1369668 1826224 2054502 2407824 2625197 2739336 4109004 5250394 5478672 7875591 8218008 10500788 15751182 16436016 21001576 23626773 31502364 42003152 47253546 63004728 94507092 126009456 189014184 378028368