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378076272 = 24374789269
BaseRepresentation
bin10110100010001…
…111110001110000
3222100102021010220
4112202033301300
51233241420042
6101303253040
712240411120
oct2642176160
9870367126
10378076272
11184461332
12a674a180
1360436692
14382d8c80
15232d28ec
hex1688fc70

378076272 has 160 divisors (see below), whose sum is σ = 1157068800. Its totient is φ = 104146944.

The previous prime is 378076267. The next prime is 378076289. The reversal of 378076272 is 272670873.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1405354 + ... + 1405622.

It is an arithmetic number, because the mean of its divisors is an integer number (7231680).

Almost surely, 2378076272 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 378076272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578534400).

378076272 is an abundant number, since it is smaller than the sum of its proper divisors (778992528).

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

378076272 is a wasteful number, since it uses less digits than its factorization.

378076272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 378076272 is about 19444.1835004713. The cubic root of 378076272 is about 723.0913072970.

The spelling of 378076272 in words is "three hundred seventy-eight million, seventy-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 89 94 112 141 168 178 188 267 269 282 329 336 356 376 534 538 564 623 658 712 752 807 987 1068 1076 1128 1246 1316 1424 1614 1869 1883 1974 2136 2152 2256 2492 2632 3228 3738 3766 3948 4183 4272 4304 4984 5264 5649 6456 7476 7532 7896 8366 9968 11298 12549 12643 12912 14952 15064 15792 16732 22596 23941 25098 25286 29281 29904 30128 33464 37929 45192 47882 50196 50572 58562 66928 71823 75858 87843 88501 90384 95764 100392 101144 117124 143646 151716 167587 175686 177002 191528 200784 202288 234248 265503 287292 303432 335174 351372 354004 383056 468496 502761 531006 574584 606864 670348 702744 708008 1005522 1062012 1125227 1149168 1340696 1405488 1416016 2011044 2124024 2250454 2681392 3375681 4022088 4248048 4500908 6751362 7876589 8044176 9001816 13502724 15753178 18003632 23629767 27005448 31506356 47259534 54010896 63012712 94519068 126025424 189038136 378076272