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145370484 = 22337375197
BaseRepresentation
bin10001010101000…
…10110101110100
3101010112120211000
420222202311310
5244203323414
622231443300
73413425440
oct1052426564
9333476730
10145370484
117506aaa6
1240826530
132416a94c
1415441820
15cb67b09
hex8aa2d74

145370484 has 96 divisors (see below), whose sum is σ = 442453760. Its totient is φ = 40404096.

The previous prime is 145370479. The next prime is 145370497. The reversal of 145370484 is 484073541.

145370484 is a `hidden beast` number, since 145 + 37 + 0 + 484 = 666.

It is a super-2 number, since 2×1453704842 = 42265155236788512, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25374 + ... + 30570.

Almost surely, 2145370484 is an apocalyptic number.

145370484 is a gapful number since it is divisible by the number (14) 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 145370484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221226880).

145370484 is an abundant number, since it is smaller than the sum of its proper divisors (297083276).

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

145370484 is a wasteful number, since it uses less digits than its factorization.

145370484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 145370484 is about 12056.9682756487. The cubic root of 145370484 is about 525.8058481457.

The spelling of 145370484 in words is "one hundred forty-five million, three hundred seventy thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 666 756 777 999 1036 1332 1554 1998 2331 3108 3996 4662 5197 6993 9324 10394 13986 15591 20788 27972 31182 36379 46773 62364 72758 93546 109137 140319 145516 187092 192289 218274 280638 327411 384578 436548 561276 576867 654822 769156 982233 1153734 1309644 1346023 1730601 1964466 2307468 2692046 3461202 3928932 4038069 5191803 5384092 6922404 8076138 10383606 12114207 16152276 20767212 24228414 36342621 48456828 72685242 145370484