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377420148 = 22347223773
BaseRepresentation
bin10110011111101…
…111100101110100
3222022011221010000
4112133233211310
51233104421043
6101241231300
712232006200
oct2637574564
9868157100
10377420148
11184053386
12a6492530
1360266b41
14381a7b00
15232032d3
hex167ef974

377420148 has 90 divisors (see below), whose sum is σ = 1147784946. Its totient is φ = 107829792.

The previous prime is 377420101. The next prime is 377420149. The reversal of 377420148 is 841024773.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 280830564 + 96589584 = 16758^2 + 9828^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377420149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3990 + ... + 27762.

Almost surely, 2377420148 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 377420148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573892473).

377420148 is an abundant number, since it is smaller than the sum of its proper divisors (770364798).

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

377420148 is a wasteful number, since it uses less digits than its factorization.

377420148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23803 (or 23785 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 377420148 is about 19427.3041876633. The cubic root of 377420148 is about 722.6727742199.

The spelling of 377420148 in words is "three hundred seventy-seven million, four hundred twenty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 15876 23773 47546 71319 95092 142638 166411 213957 285276 332822 427914 499233 641871 665644 855828 998466 1164877 1283742 1497699 1925613 1996932 2329754 2567484 2995398 3494631 3851226 4493097 4659508 5990796 6989262 7702452 8986194 10483893 13479291 13978524 17972388 20967786 26958582 31451679 41935572 53917164 62903358 94355037 125806716 188710074 377420148