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370479420 = 22345713221
BaseRepresentation
bin10110000101010…
…001000100111100
3221211010022020000
4112011101010330
51224320320140
6100432354300
712116010633
oct2605210474
9854108200
10370479420
11180142743
12a40a5990
135b9a68bc
14372bc51a
15227d1a30
hex1615113c

370479420 has 120 divisors (see below), whose sum is σ = 1178942688. Its totient is φ = 97372800.

The previous prime is 370479407. The next prime is 370479479. The reversal of 370479420 is 24974073.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113410 + ... + 116630.

Almost surely, 2370479420 is an apocalyptic number.

370479420 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 370479420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589471344).

370479420 is an abundant number, since it is smaller than the sum of its proper divisors (808463268).

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

370479420 is a wasteful number, since it uses less digits than its factorization.

370479420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3313 (or 3302 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 370479420 is about 19247.8419569571. The cubic root of 370479420 is about 718.2153718525.

The spelling of 370479420 in words is "three hundred seventy million, four hundred seventy-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 71 81 90 108 135 142 162 180 213 270 284 324 355 405 426 540 639 710 810 852 1065 1278 1420 1620 1917 2130 2556 3195 3221 3834 4260 5751 6390 6442 7668 9585 9663 11502 12780 12884 16105 19170 19326 23004 28755 28989 32210 38340 38652 48315 57510 57978 64420 86967 96630 115020 115956 144945 173934 193260 228691 260901 289890 347868 434835 457382 521802 579780 686073 869670 914764 1043604 1143455 1304505 1372146 1739340 2058219 2286910 2609010 2744292 3430365 4116438 4573820 5218020 6174657 6860730 8232876 10291095 12349314 13721460 18523971 20582190 24698628 30873285 37047942 41164380 61746570 74095884 92619855 123493140 185239710 370479420