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370055742 = 237219312137
BaseRepresentation
bin10110000011101…
…001101000111110
3221210022210001020
4112003221220332
51224213240432
6100415325010
712112264500
oct2603515076
9853283036
10370055742
1117a9833a1
12a3b20766
135b888ac4
143720bd70
152274b22c
hex160e9a3e

370055742 has 96 divisors (see below), whose sum is σ = 935930880. Its totient is φ = 96888960.

The previous prime is 370055737. The next prime is 370055771. The reversal of 370055742 is 247550073.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172098 + ... + 174234.

It is an arithmetic number, because the mean of its divisors is an integer number (9749280).

Almost surely, 2370055742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 370055742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467965440).

370055742 is an abundant number, since it is smaller than the sum of its proper divisors (565875138).

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

370055742 is a wasteful number, since it uses less digits than its factorization.

370055742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2206 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 370055742 is about 19236.8329513982. The cubic root of 370055742 is about 717.9414851846.

The spelling of 370055742 in words is "three hundred seventy million, fifty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 31 38 42 49 57 62 93 98 114 133 147 186 217 266 294 399 434 589 651 798 931 1178 1302 1519 1767 1862 2137 2793 3038 3534 4123 4274 4557 5586 6411 8246 9114 12369 12822 14959 24738 28861 29918 40603 44877 57722 66247 81206 86583 89754 104713 121809 132494 173166 198741 209426 243618 284221 314139 397482 463729 568442 628278 852663 927458 1258693 1391187 1705326 1989547 2517386 2782374 3246103 3776079 3979094 5968641 6492206 7552158 8810851 9738309 11937282 17621702 19476618 26432553 52865106 61675957 123351914 185027871 370055742