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376385490 = 2325132911093
BaseRepresentation
bin10110011011110…
…010111111010010
3222020020100211100
4112123302333102
51232323313430
6101203125230
712220136535
oct2633627722
9866210740
10376385490
11183506a98
12a6073816
135cc93c10
1437db8a1c
152309b960
hex166f2fd2

376385490 has 96 divisors (see below), whose sum is σ = 1090318320. Its totient is φ = 89445888.

The previous prime is 376385483. The next prime is 376385507. The reversal of 376385490 is 94583673.

376385490 is a `hidden beast` number, since 3 + 7 + 638 + 5 + 4 + 9 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 161264601 + 215120889 = 12699^2 + 14667^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28384 + ... + 39476.

Almost surely, 2376385490 is an apocalyptic number.

376385490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 376385490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545159160).

376385490 is an abundant number, since it is smaller than the sum of its proper divisors (713932830).

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

376385490 is a wasteful number, since it uses less digits than its factorization.

376385490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11148 (or 11145 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 376385490 is about 19400.6569476397. The cubic root of 376385490 is about 722.0117924834.

It can be divided in two parts, 3763 and 85490, that added together give a triangular number (89253 = T422).

The spelling of 376385490 in words is "three hundred seventy-six million, three hundred eighty-five thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 29 30 39 45 58 65 78 87 90 117 130 145 174 195 234 261 290 377 390 435 522 585 754 870 1131 1170 1305 1885 2262 2610 3393 3770 5655 6786 11093 11310 16965 22186 33279 33930 55465 66558 99837 110930 144209 166395 199674 288418 321697 332790 432627 499185 643394 721045 865254 965091 998370 1297881 1442090 1608485 1930182 2163135 2595762 2895273 3216970 4182061 4326270 4825455 5790546 6489405 8364122 9650910 12546183 12978810 14476365 20910305 25092366 28952730 37638549 41820610 62730915 75277098 125461830 188192745 376385490