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379597400 = 235271320857
BaseRepresentation
bin10110101000000…
…011001001011000
3222110021112201222
4112220003021120
51234134104100
6101400031212
712256344650
oct2650031130
9873245658
10379597400
11185300166
12a7162508
1360849b60
14385b3360
15234d3485
hex16a03258

379597400 has 96 divisors (see below), whose sum is σ = 1086284640. Its totient is φ = 120130560.

The previous prime is 379597391. The next prime is 379597423. The reversal of 379597400 is 4795973.

It is a happy number.

It is a super-3 number, since 3×3795974003 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7772 + ... + 28628.

It is an arithmetic number, because the mean of its divisors is an integer number (11315465).

Almost surely, 2379597400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379597400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543142320).

379597400 is an abundant number, since it is smaller than the sum of its proper divisors (706687240).

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

379597400 is a wasteful number, since it uses less digits than its factorization.

379597400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20893 (or 20884 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 44.

The square root of 379597400 is about 19483.2594808980. The cubic root of 379597400 is about 724.0597561659.

The spelling of 379597400 in words is "three hundred seventy-nine million, five hundred ninety-seven thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 20857 41714 83428 104285 145999 166856 208570 271141 291998 417140 521425 542282 583996 729995 834280 1042850 1084564 1167992 1355705 1459990 1897987 2085700 2169128 2711410 2919980 3649975 3795974 4171400 5422820 5839960 6778525 7299950 7591948 9489935 10845640 13557050 14599900 15183896 18979870 27114100 29199800 37959740 47449675 54228200 75919480 94899350 189798700 379597400