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361400940 = 22345223087
BaseRepresentation
bin10101100010101…
…000101001101100
3221012001001220000
4111202220221230
51220004312230
655510024300
711645600025
oct2542505154
9835031800
10361400940
1117600196a
12a1048090
1359b48614
1435dd7c4c
1521adbb60
hex158a8a6c

361400940 has 60 divisors (see below), whose sum is σ = 1133733216. Its totient is φ = 96373152.

The previous prime is 361400917. The next prime is 361400959. The reversal of 361400940 is 49004163.

361400940 is a `hidden beast` number, since 3 + 614 + 0 + 0 + 9 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×3614009402 = 261221278865767200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 109924 + ... + 113163.

Almost surely, 2361400940 is an apocalyptic number.

361400940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

361400940 is an abundant number, since it is smaller than the sum of its proper divisors (772332276).

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

361400940 is a wasteful number, since it uses less digits than its factorization.

361400940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223108 (or 223097 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 361400940 is about 19010.5481246596. The cubic root of 361400940 is about 712.3002431703.

The spelling of 361400940 in words is "three hundred sixty-one million, four hundred thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 223087 446174 669261 892348 1115435 1338522 2007783 2230870 2677044 3346305 4015566 4461740 6023349 6692610 8031132 10038915 12046698 13385220 18070047 20077830 24093396 30116745 36140094 40155660 60233490 72280188 90350235 120466980 180700470 361400940