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350707680 = 253252310589
BaseRepresentation
bin10100111001110…
…101111111100000
3220102220210111100
4110321311333200
51204240121210
654444514400
711455652241
oct2471657740
9812823440
10350707680
1116aa68964
129954ba00
135787334b
1434812cc8
1520bc85c0
hex14e75fe0

350707680 has 144 divisors (see below), whose sum is σ = 1248942240. Its totient is φ = 89447424.

The previous prime is 350707667. The next prime is 350707697. The reversal of 350707680 is 86707053.

350707680 is a `hidden beast` number, since 3 + 507 + 0 + 76 + 80 = 666.

350707680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27826 + ... + 38414.

It is an arithmetic number, because the mean of its divisors is an integer number (8673210).

Almost surely, 2350707680 is an apocalyptic number.

350707680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624471120).

350707680 is an abundant number, since it is smaller than the sum of its proper divisors (898234560).

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

350707680 is a wasteful number, since it uses less digits than its factorization.

350707680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10633 (or 10622 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 350707680 is about 18727.1909265645. The cubic root of 350707680 is about 705.2045279529.

The spelling of 350707680 in words is "three hundred fifty million, seven hundred seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 10589 11040 16560 21178 31767 33120 42356 52945 63534 84712 95301 105890 127068 158835 169424 190602 211780 243547 254136 317670 338848 381204 423560 476505 487094 508272 635340 730641 762408 847120 953010 974188 1016544 1217735 1270680 1461282 1524816 1694240 1906020 1948376 2191923 2435470 2541360 2922564 3049632 3653205 3812040 3896752 4383846 4870940 5082720 5845128 7306410 7624080 7793504 8767692 9741880 10959615 11690256 14612820 15248160 17535384 19483760 21919230 23380512 29225640 35070768 38967520 43838460 58451280 70141536 87676920 116902560 175353840 350707680