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374351340 = 2235112572207
BaseRepresentation
bin10110010100000…
…010010111101100
3222002102000111110
4112110002113230
51231313220330
6101051352020
712163635216
oct2624022754
9862360443
10374351340
11182347780
12a5452610
135c73108c
1437a095b6
1522ce8db0
hex165025ec

374351340 has 96 divisors (see below), whose sum is σ = 1148442624. Its totient is φ = 90357760.

The previous prime is 374351333. The next prime is 374351389. The reversal of 374351340 is 43153473.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 374351298 and 374351307.

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 31 ways as a sum of consecutive naturals, for example, 168517 + ... + 170723.

It is an arithmetic number, because the mean of its divisors is an integer number (11962944).

Almost surely, 2374351340 is an apocalyptic number.

374351340 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 374351340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574221312).

374351340 is an abundant number, since it is smaller than the sum of its proper divisors (774091284).

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

374351340 is a wasteful number, since it uses less digits than its factorization.

374351340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 374351340 is about 19348.1611529365. The cubic root of 374351340 is about 720.7087542474.

The spelling of 374351340 in words is "three hundred seventy-four million, three hundred fifty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 257 330 514 660 771 1028 1285 1542 2207 2570 2827 3084 3855 4414 5140 5654 6621 7710 8481 8828 11035 11308 13242 14135 15420 16962 22070 24277 26484 28270 33105 33924 42405 44140 48554 56540 66210 72831 84810 97108 121385 132420 145662 169620 242770 291324 364155 485540 567199 728310 1134398 1456620 1701597 2268796 2835995 3403194 5671990 6239189 6806388 8507985 11343980 12478378 17015970 18717567 24956756 31195945 34031940 37435134 62391890 74870268 93587835 124783780 187175670 374351340