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380107476 = 223272365581
BaseRepresentation
bin10110101001111…
…111101011010100
3222111020110102200
4112221333223110
51234301414401
6101415004500
712263601030
oct2651775324
9874213380
10380107476
11185619411
12a7369730
1360998088
14386a71c0
1523584686
hex16a7fad4

380107476 has 72 divisors (see below), whose sum is σ = 1145848704. Its totient is φ = 103878720.

The previous prime is 380107463. The next prime is 380107489. The reversal of 380107476 is 674701083.

380107476 is a `hidden beast` number, since 3 + 80 + 107 + 476 = 666.

380107476 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (380107463) and next prime (380107489).

It is a super-2 number, since 2×3801074762 = 288963386622181152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 380107476.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26995 + ... + 38586.

Almost surely, 2380107476 is an apocalyptic number.

380107476 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

380107476 is an abundant number, since it is smaller than the sum of its proper divisors (765741228).

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

380107476 is a wasteful number, since it uses less digits than its factorization.

380107476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65621 (or 65616 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 380107476 is about 19496.3451959592. The cubic root of 380107476 is about 724.3839243531.

The spelling of 380107476 in words is "three hundred eighty million, one hundred seven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 65581 131162 196743 262324 393486 459067 590229 786972 918134 1180458 1377201 1508363 1836268 2360916 2754402 3016726 4131603 4525089 5508804 6033452 8263206 9050178 10558541 13575267 16526412 18100356 21117082 27150534 31675623 42234164 54301068 63351246 95026869 126702492 190053738 380107476